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Finding the Fourth Proportional to 98,662.68, 147,977.52 and 35,469.92

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Solution

The fourth proportional to 98,662.68, 147,977.52 and 35,469.92 is: 53,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,662.68 : 147,977.52 = 35,469.92 : x
  2. Step 2: Convert to fraction form
    98,662.68/147,977.52 = 35,469.92/x
  3. Step 3: Cross multiply
    98,662.68x = 147,977.52 × 35,469.92
  4. Step 4: Simplify right side
    98,662.68x = 5,248,750,056.31
  5. Step 5: Solve for x
    x = 5,248,750,056.31/98,662.68
  6. Step 6: Final answer
    x = 53,198.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.